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Introduction

Here is an infinite set of numbers


equation7

Suppose a logarithm function which satisfy


equation9

on the modulo N and the function is one-to-one, thus


equation15

The range of the function tex2html_wrap_inline50 must be in the set of numbers


equation21

We call the set of the above conditions "cyclic logarithm condition". For example in the case of N=4 (thus tex2html_wrap_inline54), assuming the following multiplication table


tabular24
,

the function
eqnarray28

satisfies the cyclic logarithm condition. (E.g. according to the multiplication table,
displaymath48
and their logarithms have the following relation
eqnarray34


next up previous
Next: Questions Up: Cyclic logarithm Previous: Cyclic logarithm

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